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Finding the Fourth Proportional to 143.00, 197.31 and 84.02

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Solution

The fourth proportional to 143.00, 197.31 and 84.02 is: 115.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.00 : 197.31 = 84.02 : x
  2. Step 2: Convert to fraction form
    143.00/197.31 = 84.02/x
  3. Step 3: Cross multiply
    143.00x = 197.31 × 84.02
  4. Step 4: Simplify right side
    143.00x = 16,577.00
  5. Step 5: Solve for x
    x = 16,577.00/143.00
  6. Step 6: Final answer
    x = 115.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.